Corrigendum to the paper “Hermitian forms over division algebras over real function fields” |
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Authors: | Nguyen Quoc Thang |
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Institution: | (1) Department of Pure Mathematics, University of Waterloo, N2L 3G1 Waterloo, Ontario, Canada |
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Abstract: | In the previous paper T] we gave a classification of hermitian forms over the real function fieldk=R(t) and its completionsk
v
with respect to valuationsv trivial onR. Unfortunately in the local case the arguments given for cases A and D, in general, were not correct. Therefore the resulting
local and local-global classifications obtained were incorrect. I would like also to thank Dr. D. Hoffmann for pointing out
these mistakes and the referee for useful comments. Here we would like to make necessary corrections to T]. We keep the same
notation used there, except that in the first paragraph,J is not the standard involution of a quaternion division algebraD (with basis {1,i,j,ij}). All hermitian forms will be hermitian forms with respect toJ, with values inD. |
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